Spline Art: Dynamic Geometric Patterns from Random Points and Spline Curves

① This example demonstrates how to create artistic plane figures by generating random points and connecting them with spline curves, with interactive controls to adjust parameters and observe changes. ② Core mathematical concepts include spline interpolation, sequence generation, conditional filtering, sorting, and geometric transformations, incorporating random variables and geometric distribution from probability, as well as curve sketching and plane figure construction. ③ Construction highlights: GeoGebra commands such as Sequence to generate point lists, KeepIf to filter points satisfying conditions, Sort to order lists, Append to add points, Spline to create smooth curves, If for conditional logic, and Textfield/button for user input; objects include n (count), lists l1 to l7, parameters b and c, an input box, and a button. ④ Suitable for high school and above, this serves as an exploration of mathematics-art integration, and can be extended to probability-statistics and function graphing, inspiring interest in randomness and geometric aesthetics.